1
JEE Main 2021 (Online) 27th July Morning Shift
+4
-1
List-I List-II
(a) MI of the rod (length L, Mass M, about an axis $$\bot$$ to the rod passing through the midpoint) (i) $$8M{L^2}/3$$
(b) MI of the rod (length L, Mass 2M, about an axis $$\bot$$ to the rod passing through one of its end) (ii) $$M{L^2}/3$$
(c) MI of the rod (length 2L, Mass M, about an axis $$\bot$$ to the rod passing through its midpoint) (iii) $$M{L^2}/12$$
(d) MI of the rod (Length 2L, Mass 2M, about an axis $$\bot$$ to the rod passing through one of its end) (iv) $$2M{L^2}/3$$

Choose the correct answer from the options given below:
A
(a)-(ii), (b)-(iii), (c)-(i), (d)-(iv)
B
(a)-(ii), (b)-(i), (c)-(iii), (d)-(iv)
C
(a)-(iii), (b)-(iv), (c)-(ii), (d)-(i)
D
(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)
2
JEE Main 2021 (Online) 27th July Morning Shift
+4
-1
Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of A, B and C are m, 2m and 2m respectively. A moves towards B with a speed of 9 m/s and makes an elastic collision with it. Thereafter B makes a completely inelastic collision with C. All motions occur along same straight line. The final speed of C is :

A
6 m/s
B
9 m/s
C
4 m/s
D
3 m/s
3
JEE Main 2021 (Online) 27th July Morning Shift
+4
-1
The figure shows two solid discs with radius R and r respectively. If mass per unit area is same for both, what is the rtaio of MI of bigger disc around axis AB (Which is $$\bot$$ to the plane of the disc and passing through its centre) of MI of smaller disc around one of its diameters lying on its plane? Given 'M' is the mass of the larger disc. (MI stands for moment of inertia)

A
R2 : r2
B
2r4 : R4
C
2R2 : r2
D
2R4 : r4
4
JEE Main 2021 (Online) 25th July Morning Shift
+4
-1
Two billiard balls of equal mass 30g strike a rigid wall with same speed of 108 kmph (as shown) but at different angles. If the balls get reflected with the same speed then the ratio of the magnitude of impulses imparted to ball 'a' and ball 'b' by the wall along 'X' direction is :

A
1 : 1
B
$$\sqrt 2$$ : 1
C
2 : 1
D
1 : $$\sqrt 2$$
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